Question

Груз висящий на нити, отклонили на 60 градусов. Натяжение нити в момент прохождения грузом положение равновесия равно 5Н. Определить массу груза в кг

Answer 1

Дано a=60    T=5 Н    m- ?

при прохождении положения равновесия груз движется с ускорением
T-m*g=m*a
T=ma+mg=m*V^2/R   +m*g
по закону сохранения энергии
m*g*h=m*V^2/2  h=L-L*соs60=0,5*L=R/2
m*g*R/2=m*V^2/2
m*V^2/R=m*g
T=mg+mg

m=T/2*g=5/20=0,25 кг=250 г

Ответ m=250 г

Answer 2

Calculation of the mass of the hanging weight

To determine the mass of the hanging weight, we can use the concept of equilibrium and the tension in the string.

Given: - The weight is deflected by 60 degrees. - The tension in the string at the equilibrium position is 5 N.

In equilibrium, the vertical component of the tension force is equal to the weight of the hanging mass.

Let's denote the mass of the hanging weight as m.

Using trigonometry, we can find the vertical component of the tension force:

Tension force = Weight of the hanging mass

Tension force = Vertical component of the tension force

The vertical component of the tension force can be calculated as:

Vertical component of the tension force = Tension force * sin(60°)

Since the tension force at the equilibrium position is 5 N, we can write:

Vertical component of the tension force = 5 N * sin(60°)

Now, we can equate the vertical component of the tension force to the weight of the hanging mass:

Vertical component of the tension force = Weight of the hanging mass

5 N * sin(60°) = m * g

where g is the acceleration due to gravity (approximately 9.8 m/s^2).

Simplifying the equation, we have:

m = (5 N * sin(60°)) / g

Now, let's calculate the mass of the hanging weight using the given values.

m = (5 N * sin(60°)) / 9.8 m/s^2

Calculating the value, we find:

m ≈ 0.51 kg

Therefore, the mass of the hanging weight is approximately 0.51 kg.

Please note that the given sources did not provide specific information related to this question. The calculation is based on the principles of equilibrium and trigonometry.